Dan Ovando
October 21, 2015
\[log(\frac{B}{B_{msy}})_{i,y} = \alpha + \beta{X_{i}} + \gamma{Y_{i,y}} + \epsilon_{s} + e_{i,y,s}\]
| Dependent variable: | |
| LogBvBmsy | |
| YearsBack | 0.01*** |
| (0.001) | |
| ScaledCatch | 0.29* |
| (0.16) | |
| ScaledCatch1Back | 0.20 |
| (0.17) | |
| ScaledCatch2Back | 0.07 |
| (0.17) | |
| ScaledCatch3Back | 0.04 |
| (0.16) | |
| ScaledCatch4Back | -0.12 |
| (0.13) | |
| MaxCatch | 0.0000* |
| (0.0000) | |
| TimeToMaxCatch | 0.02*** |
| (0.001) | |
| InitialScaledCatchSlope | -4.05*** |
| (0.41) | |
| MeanScaledCatch | 0.63*** |
| (0.16) | |
| CatchToRollingMax | 0.91*** |
| (0.10) | |
| MaxLength | 0.0005** |
| (0.0002) | |
| AgeMat | 0.03*** |
| (0.005) | |
| VonBertK | -0.18* |
| (0.10) | |
| Temp | 0.03*** |
| (0.01) | |
| SpeciesCatNameFlounders, halibuts, soles | 0.72*** |
| (0.07) | |
| SpeciesCatNameHerrings, sardines, anchovies | 0.61*** |
| (0.06) | |
| SpeciesCatNameMiscellaneous coastal fishes | 0.67*** |
| (0.20) | |
| SpeciesCatNameMiscellaneous demersal fishes | 1.17*** |
| (0.10) | |
| SpeciesCatNameMiscellaneous pelagic fishes | -0.42*** |
| (0.10) | |
| SpeciesCatNameSharks, rays, chimaeras | 0.80*** |
| (0.23) | |
| SpeciesCatNameTunas, bonitos, billfishes | 0.44*** |
| (0.09) | |
| Constant | -2.75*** |
| (0.11) | |
| Observations | 3,240 |
| R2 | 0.48 |
| Adjusted R2 | 0.47 |
| Residual Std. Error | 0.86 (df = 3217) |
| F Statistic | 132.43*** (df = 22; 3217) |
| Note: | p<0.1; p<0.05; p<0.01 |
In log space
Now exponentiated
Residuals vs. predicted
Residuals vs. exponentiated predicted values
Residuals over time
We have a few problems
denote \(log(B/B_{MSY}) = x_{i,t}\beta + e_{i,t}\) ~ \(N(0,\sigma_{i,t}^{2})\)